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JEE Math Practice Question

If $$A$$ is a $$3 \times 3$$ non-singular matrix such that $$AA'=A'A$$ and $$B = {A^{ - 1}}A',$$ then $$BB'$$ equals:

  1. A.$${B^{ - 1}}$$
  2. B.$$\left( {{B^{ - 1}}} \right)'$$
  3. C.$$I+B$$
  4. D.$$I$$

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